22400134200 has 192 divisors, whose sum is σ = 78798528000. Its totient is φ = 5846209920.

The previous prime is 22400134199. The next prime is 22400134231. The reversal of 22400134200 is 243100422.

22400134200 is a `hidden beast` number, since 2 + 240 + 0 + 1 + 3 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209671 + ... + 297929.

It is an arithmetic number, because the mean of its divisors is an integer number (410409000).

Almost surely, 2^22400134200 is an apocalyptic number.

22400134200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39399264000).

22400134200 is an abundant number, since it is smaller than the sum of its proper divisors (56398393800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22400134200 is a wasteful number, since it uses less digits than its factorization.

22400134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88331 (or 88316 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22400134200 its reverse (243100422), we get a palindrome (22643234622).

The spelling of 22400134200 in words is "twenty-two billion, four hundred million, one hundred thirty-four thousand, two hundred".